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38241120 = 253579669
BaseRepresentation
bin1001000111100…
…0001101100000
32122221211221210
42101320031200
534242203440
63443350120
7643021101
oct221701540
978854853
1038241120
111a64a135
1210982340
137bcc0a8
1451163a8
153555a80
hex2478360

38241120 has 48 divisors (see below), whose sum is σ = 120461040. Its totient is φ = 10197504.

The previous prime is 38241113. The next prime is 38241149. The reversal of 38241120 is 2114283.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39355 + ... + 40314.

It is an arithmetic number, because the mean of its divisors is an integer number (2509605).

Almost surely, 238241120 is an apocalyptic number.

38241120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38241120 is an abundant number, since it is smaller than the sum of its proper divisors (82219920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38241120 is a wasteful number, since it uses less digits than its factorization.

38241120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79687 (or 79679 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 38241120 is about 6183.9404913049. The cubic root of 38241120 is about 336.9071292370.

The spelling of 38241120 in words is "thirty-eight million, two hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 79669 159338 239007 318676 398345 478014 637352 796690 956028 1195035 1274704 1593380 1912056 2390070 2549408 3186760 3824112 4780140 6373520 7648224 9560280 12747040 19120560 38241120